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Finding the Fourth Proportional to 194,931, 269,005.59 and 105,507

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Solution

The fourth proportional to 194,931, 269,005.59 and 105,507 is: 145,600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,931 : 269,005.59 = 105,507 : x
  2. Step 2: Convert to fraction form
    194,931/269,005.59 = 105,507/x
  3. Step 3: Cross multiply
    194,931x = 269,005.59 × 105,507
  4. Step 4: Simplify right side
    194,931x = 28,381,972,784.13
  5. Step 5: Solve for x
    x = 28,381,972,784.13/194,931
  6. Step 6: Final answer
    x = 145,600.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.